2 00 6 Random Point Fields for Para - Particles of Any Order
نویسندگان
چکیده
Random point fields which describe gases consisting of para-particles of any order are given by means of the canonical ensemble approach. The analysis for the cases of the para-fermion gases are discussed in full detail.
منابع مشابه
Random Point Fields for Para-Particles of Any Order
Random point fields which describe gases consisting of para-particles of any order p ∈ N are given by means of the canonical ensemble approach. The analysis for the cases of the para-fermion gases are discussed in full detail and it is shown that the partition functions are p-th power of that of the usual (i.e. p = 1) fermion. The same is true for para-bosons.
متن کاملRandom Point Fields for Para - Particles of order 3 金沢大学・自然科学研究科 田村博志 ∗ ( Hiroshi Tamura )
The purpose of this note is to apply the method which we have developed in [TIa] to statistical mechanics of gases which consist of para-particles of order 3. We begin with quantum mechanical thermal system of finite fixed number of para-bosons and/or para-fermions in the bounded box in R. Taking the thermodynamic limit, random point fields on R are obtained. We will see that the point processe...
متن کامل- qc / 0 60 20 10 v 1 2 F eb 2 00 6 Group field theory formulation of 3 d quantum gravity coupled to matter fields
We present a new group field theory describing 3d Riemannian quantum gravity coupled to matter fields for any choice of spin and mass. The perturbative expansion of the partition function produces fat graphs colored with SU(2) algebraic data, from which one can reconstruct at once a 3-dimensional simplicial complex representing spacetime and its geometry, like in the Ponzano-Regge formulation o...
متن کاملRandom Vortex Method for Geometries with Unsolvable Schwarz-Christoffel Formula
In this research we have implemented the Random Vortex Method to calculate velocity fields of fluids inside open cavities in both turbulent and laminar flows. the Random Vortex Method is a CFD method (in both turbulent and laminar fields) which needs the Schwarz-Christoffel transformation formula to map the physical geometry into the upper half plane. In some complex geometries like the flow in...
متن کاملA Canonical Ensemble Approach to the Fermion/Boson Random Point Processes and its Applications
We introduce the boson and the fermion point processes from the elementary quantum mechanical point of view. That is, we consider quantum statistical mechanics of canonical ensemble for a fixed number of particles which obey Bose-Einstein, Fermi-Dirac statistics, respectively, in a finite volume. Focusing on the distribution of positions of the particles, we have point processes of the fixed nu...
متن کامل